[0001] This invention relates to a system for encoding an input byte-wide data stream into
an output run- lenth-limited (RLL) symbol string or for decoding an output byte-wide
data stream from an input RLL symbol string.
[0002] As is known, conventional computer systems utilize magnetic disks for data storage.
In order to maximize the amount of data stored on a disk, many such systems normally
employ some form of run-length-limited (RLL) coding to encode data prior to entry
onto a disk, which provides particularly dense packing of disk-stored data.
[0003] In-the family of RLL codes, the (1,7) format is gaining increasing acceptance in
the industry as the preferred RLL coding format for present magnetic disk technology.
In emplying the RLL (1,7) coding format, a sequence of unencoded binary data is converted
into an encoded bit string in which each one in a coded bit sequence must be separated
from the nearest adjacent one by at least one, but no more than seven zeros. 1n this
format, the most efficient coding rate results when every two unencoded data bits
are converted into three coded bits. Conversely, in the decoding process, three coded
data bits are converted into two decoded data bits. This technique is taught in detail
in U.S. Patent No. 4,413,251 to R. L. Adler et al, which is assigned to the assignee
of this patent application.
[0004] A typical prior art architecture employing RLL - (1,7) coding in a magnetic disk
storage system is illustrated in Figure 1. As is typical, unencoded data from a data
processing system is provided to the encoder section of an encoder/decoder (ENC/DEC)
through a serializer/deserializer (S/D). When provided to the serializer/deserializer,
the data is normally in parallel byte form, which must be serialized into a sequence
of 2-bit groups. Each 2-bit group provided to the encoder results in the provision
of three encoded bits that go to a buffer - (B) for serialization into an encoded,
bit-wide data string that is processed by drive circuitry for writing onto a magnetic
disk. In the industry, this is referred to as bit-by-bit encoding. When data is read
from the disk, a bit-wide encoded data string is provided through the buffer B in
the form of successive groups of three encoded bits to the decoder section of the
encoder/decoder. Each successive group of three encoded bits is decoded to a group
of two data bits (bit-by-bit decoding). The succession of bit pairs from the decoder
are converted by the serializerldeserializer into a succession of bytes that are forwarded
to the data processing system.
[0005] An artifact of the bit-by-bit coding system of Figure 1 is the requirement for at
least two conversion clocks: an f
cclock for the encoded bit channel and a 2/3 f
c clock for the transfer of data between the serializer/deserializer S/D and the buffer
B.
[0006] The f
c clock can be derived conventionally from a disk servo clock while writing information
to a disk or from encoded read data obtained from a disk while reading information
from the disk. Normally, f
c is obtained under either circumstance through a voltage-frequency oscillator (VFO).
[0007] The 2/3 f
c clock is usually derived by use of a second VFO synchronized to the f
c clock. This imposes an added hardware requirement and requires the settling times
of two VFO's to be accounted for when the timing source to the f
cVFO is switched.
[0008] Moreover, the Figure 1 architecture requires an extra format conversion for unencoded
and decoded data passing between the serializer/deserializer and encoder/decoder,
further adding complexity to the system.
[0009] Further, the typical prior art RLL (1,7) encoder consists of a finite-state machine
whose internal state is described by three state bits. Plural state bits increase
the logic and storage hardware requirements of the encoder, which make it awkward
for being cascaded in parallel to provide byte-wide encoding.
[0010] The present invention is defined in the attached claims.
[0011] The technical problem that is solved by the system of the invention is the elimination
of the need for an odd 2/3 f
c clock to shift unencoded or decoded data relative to the bit rate of the encoded
channel. The invention is based upon the simultaneous coding conversion of an entire
byte of data, which permits the system to transfer decoded or unencoded data at the
byte rate and eliminates the requirement for the odd 2/3 rate clock.
[0012] In particular, the system is one for encoding an input byte-wide data sequence into
an output run-length-limited (RLL) symbol string and for decoding an output byte-wide
data sequence from an input RLL symbol string.
[0013] The system includes an RLL encoder that responds to consecutive parallel unencoded
bytes occurring at a byte rate in an input byte-wide data sequence by producing an
output RLL symbol sequence including consecutive groups of parallel RLL symbols.
[0014] A format converter is connected to the RLL encoder for converting the output RLL
symbol sequence into an output RLL-encoded symbol string having a symbol string rate
which is a whole multiple of the byte rate. The format converter further responds
to an input RLL symbol string having an input symbol string rate, by providing an
input RLL symbol sequence including consecutive groups of parallel RLL symbols.
[0015] An RLL decoder responds to the input RLL symbol sequence onstructed by the format
converter by producing, at the byte rate, an output byte-wide data sequence including
consecutive parallel bytes of decoded data.
[0016] The primary objective of the system is to provide a bi-directional code conversion
interface between a channel conducting a sequence of consecutive parallel bytes of
data at a byte rate and a data channel conducting strings of RLL (1,7) symbols at
a symbol' string rate.
[0017] An advantage of the present invention is the elimination of the need for an odd clock
signal having 2/3 the frequency of the symbol channel.
[0018] Other objectives and advantages of the present invention will become more apparent
when the following detailed description is read in light of the below-described drawings.
BRIEF DESCRIPTION OF THE DRAWINGS
[0019]
Figure 1 is a block diagram of code conversion architecture in the prior art.
Figure 2 is a block diagram illustrating the general architecture of the system of
the invention.
Figure 3 is a more detailed illustration of the functional blocks included in the
system of the invention.
Figure 4 is a waveform diagram illustrating read and write modes of operation of the
system of the invention.
Figure 5 is a schematic diagram illustrating a format converter used in the system
of the invention.
Figure 6 is a schematic diagram illustrating a decoder for converting twelve bits
of RLL (1,7)-encoded data simultaneously into a parallel byte of decoded data.
Figure 7 is a circuit diagram of the encoder used to simultaneously encode a byte
of unencoded data into twelve bits of RLL (1,7)-encoded data.
Figure 8 is a gating circuit used to steer byte clock signals during read and write
operations of the invention.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT
[0020] In the description which follows, a byte of data is taken, as in the usual sense,
to denote a sequence of eight adjacent binary digits (bits) that are operated upon
as a unit. A parallel byte refers to the eight bits transferred simultaneously on
a, data channel including 8 parallel transmission paths. A string refers to a linear
sequence of bits. A coded symbol consists of a group of three consecutive bits resulting
from an encoding operation performed on two bits of unencoded data. A symbol string
is a string of encoded bits in which successive groups of three bits form successive
symbols.
[0021] In the magnetic disk storage art, weight is assigned a bit in a data string according
to its place in the string. The first bit is accorded the most significance (MSB)
and is assigned the lowest-numerical subscript, e.g., x
o. Bits occurring after the MSB have correspondingly less significance, but subscripts
of higher magnitude. Thus, in a serial byte, bit x
o (the first bit) is the MSB while bit
X7 (the last bit) is the LSB. In the following description, this significance convention
is observed for unencoded bits (x), encoded bits (y), and symbols(Y).
[0022] As illustrated in Figure 2, the system of the invention, enclosed in the dashed outline
indicated by reference numeral 10, accepts an input byte sequence constituting a succession
of parallel bytes on a data channel that is eight bits wide. Each byte consists of
eight simultaneously-transferred bits. The byte sequence is fed to the system 10 for
being encoded into an output consisting of a string of RLL (1,7)-encoded symbols.
[0023] An input-byte sequence can be provided from a conventional . data processing system
(not shown) for being entered (written) onto a magnetic disk (also not shown) for
storage and later retrieval.
[0024] The input byte sequence is converted by the system of the invention to an output
symbol string, in which form it is stored on the disk.
[0025] When data stored on the magnetic disk is to be retrieved (read), an input symbol
string is obtained from the disk and provided to the system 10 for conversion into
a decoded output byte sequence that is forwarded to the data processing system.
[0026] As is conventional, the system 10 operates in conjunction with conventional disk
control logic 12 that provides a read/write (R/W) gate signal for defining the mode
of operation for the system 10.
[0027] In one state, the R/W signal denotes a disk read operation, and in another state,
a disk write operation. The control logic includes a VFO (not shown) to generate a
symbol channel clock f
c and a multiphase byte clock f
a that is constrained to be an integer sub-multiple of f
c. The control logic 12 also provides conventional signals MUX 1 and MUX 2 for controlling
conventional multiplexing and format conversion circuitry in the system 10.
[0028] The system 10 is a byte-wide encoder and decoder for RLL (1,7) code and includes
an RLL encoder 16 that accepts consecutive bytes of an input byte sequence at a byte
rate f
B and encodes them according to RLL (1,7) coding rules into a write symbol group sequence
(WSGS). The write symbol group sequence consists of a sequence of groups of parallel
encoded symbol bits. The 2/3 conversion rate constrains each group of the write symbol
group sequence to twelve bits, which form 4 symbols.
[0029] The write symbol group sequence is provided to a serializer/deserializer circuit
18 that, during a write mode of operation, performs parallel-to-serial format conversion
to convert the 12-bit wide write symbol group sequence into a bit-wide output symbol
string having a string rate f
c that is equal to 12 f
B.
[0030] The serializer/deserializer circuit 18, during a read mode of operation, receives
a bit-wide input symbol string at the string rate f
c and performs serial-to-parallel format conversion on the input string to produce
a read symbol group sequence - (RSGS) consisting of the succession of groups of twelve
parallel encoded data bits. The read symbol group sequence is provided to an RLL decoder
20 which converts the sequence to a corresponding parallel byte sequence of decoded
bits that is forwarded at the byte rate f
B to the data processing system as read data.
[0031] In the operation, explained below, of the system 10 in converting between symbol
strings and parallel byte sequences, only 2 clock signals, f
c and f
B, are required. The byte clock f
a is necessary to stage parallel bytes into and out of the system 10 and to move symbol
groups between the encoder 16 and the format converter 18, and between the format
converter 18 and the decoder 20. The symbol channel clock f
c clocks coded data strings into and out of the system 10. Thus, the advantage of the
system 10 is clearly illustrated in Figure 2: the requirement for the odd 2/3 clock
to aid in encoding and decoding is eliminated.
[0032] Referring now to Figures 3 and 4, the system 10 preferably operates in a conventional
magnetic disk storage unit for encoding a parallel byte sequence of data to be written
to a magnetic disk. The parallel byte stream is provided as write data from a data
processing system (not shown) and is delivered unencoded to the system 10. The write
data is converted by the system of the invention to an RLL (1,7)-encoded bit string
comprising symbol channel write data which is submitted to disk drive electronics
(not shown) for being entered on a magnetic disk (also not shown). This mode of operation
is referred to hereinbelow as the WRITE mode and is signified by a WRITE state of
the R/W . signal produced by the control logic 12.
[0033] In a READ mode of operation (signified by a READ state of the R/W signal), an RLL
(1,7)-encoded bit string comprising symbol channel read data obtained from the disk
drive electronics for delivery to the data processing system is delivered to the system
10 for conversion to a decoded parallel byte sequence which is transferred by conventional
means to the data processing system.
[0034] In the WRITE mode of operation, the byte-wide encoder and decoder system for RLL
(1,7) code pictured in Figure 3, a sequence of parallel bytes that are to be encoded
for being written onto a magnetic disk are staged, byte-by-byte into the system through
a first input latch 30, which is enabled by the WRITE state of the R/W signal. Once
entered into the latch 30, a byte of unencoded data is available from the output of
the latch 30 to a second latch 32 and to the RLL (1,7) byte-wide encoder 16. The encoder
16 is capable of accepting a byte (byte (N)) of unencoded data comprising eight parallel
bits, x
o -x
7 (x
0 = MSB), together with the least significant two bits, x'
6 and x'7, of the preceding byte (byte (N-1)) and encoding byte (N) according to a
known RLL (1,7) conversion algorithm having a coding rate of 2/3.
[0035] As a result of the 2/3 coding rate, encoding byte (N) results in the production by
the encoder of a write symbol group (WSG (N)) of twelve encoded bits, Y
o -Y,, (Y
0 = MSB). In keeping with convention, each group of twelve encoded bits comprises 4
symbols, Y
o -Y3 (where Y
o is the most significant symbol), with each symbol defined by a respective set of
three encoded bits. Thus, for example, symbol Y, is defined by encoded bits Y3 -Y
s.
[0036] The sequence of parallel bytes staged into the encoder 16 from the input latch 30
results in the provision by the encoder of a corresponding sequence of write symbol
groups termed a write symbol group sequence (WSGS) that is fed simultaneously to a
pair of conventional serializer/deserializers (S/D) 36 and 38 that constitute the
S/D circuit 18.
[0037] Each of the S/D's 36 and 38 has a P
i (parallel input) port and a S, (serial input) port. When the system of the invention
is performing encoding to support write operations, altemating levels of the MUX 2
signal on the C (control) ports of the S/D's permit the entry of alternate write symbol
groups provided by the encoder 16 through the P
i ports of the S/D's. While either one of the S/D's 36 or 38 is receiving one write
symbol group from the encoder 16, the other is converting the parallel format of the
previous write symbol group by shifting the bits of the previous group serially through
one of the 12 signal leads connected to the O (output) port of the S/D. The serialized
symbol group is provided to a conventional 2-to-1 multiplexer 40, which is operated
by the control logic 12 to interleave serialized symbol groups provided alternately
from the S/D's 36 and 38 into a continuous symbol string of encoded bits. The encoded
symbol string output by the multiplexer 40 is fed to conventional circuitry 42 which
performs precompensation on the bits of the output symbol string to prepare them for
being written as symbol channel write data onto the magnetic disk.
[0038] During a write operation, after entry of one write symbol group, say WSG (N), into
a respective S/D through its P
; port, but before serial shifting of the group to the multiplexer 40, write symbol
group (N) is provided in parallel to another. conventional 2-to-1 multiplexer 44 while
the other S/D is serially shifting the previous write symbol group, WSG (N-1), serially
to the multiplexer 40. Thus, the multiplexer 44 interleaves the symbol groups to reform
the write symbol group sequence, which is provided, during write operations, through
the output of the. multiplexer 44 to a pair of conventional, serially-connected latches
46 and 48. As shown in Figure 3, only the least significant ten bits of each symbol
group are entered into the latches 46 and 48, while the most significant six bits
of the currently-encoded symbol group are fed, together with the least significant
ten bits of the previously- encoded symbol group, to the RLL byte-wide decoder 20.
[0039] As explained below, before WSG (N) is shifted serially through multiplexer 40, the
decoder 20 receives the six encoded symbol bits of WSG (N) and uses them, together
with the least significant ten bits of WSG (N-1) stored in the latch 48, to decode
the byte (byte N-1) from which WSG (N-1) was encoded. The decoded byte (N-1) is provided
by the decoder 20 to a conventional digital comparator 52 where it is compared with
the unencoded form of byte (N-1) stored in the latch 32.
[0040] The output of the comparator 52 comprises a WRITE CHECK signal which, in one state,
indicates correspondence between the decoded byte available from the decoder 20 and
the stored byte available from the latch 32. The other state of the WRITE CHECK signal
indicates noncorrespon- dence and can be used to institute standard error- correcting
procedures in other components of the disk interface with which the system of the
invention is used.
[0041] When data is to be obtained in encoded form from the magnetic disk and returned decoded
to the data processing system, the control logic 12 changes the R/W signal to its
READ state and the disk drive circuitry provides symbol channel read. data obtained
from the magnetic disk in the form of an input encoded symbol string. The input symbol
string is fed through a shift register 54 to the S; ports of the S/D's 36 and 38.
The S/D's are controlled to receive alternate groups of twelve en-. coded bits from
the input string and to provide them, alternately in parallel form, through the multiplexer
44 to the decoder 20 in the manner described hereinabove. The alternate groups of
parallel encoded bits are formed by the multiplexer 44 into a read symbol group sequence
that is fed to the decoder 20 in the manner described hereinabove. The read symbol
group sequence is decoded by the decoder 20 into an output sequence of parallel bytes
that are returned to the data processing system through an output register 56 as read
data.
[0042] The sequence of operations undertaken by the system 10 during write-and read-related
operations can be understood now with reference to Figures 3-5. In Figure 4, which
shows the timing of the write and read operational sequences, the symbol string clock
is labelled f
c . In addition, the BYTE CLKS signal represents a series of phased byte clock signals
(f
s1 -f
B4) that is cycled once for each byte of data encoded or decoded by the system 10. Since
there is a 2/3 ratio of unencoded to encoded bits, one byte clock cycle is completed
for every twelve pulses of f
c, and each byte clock has the frequency f
c/12. Every twelve pulses of f
ccoincides with the completion of one encoding or decoding operation for each byte
of data received or provided by the system 10.
[0043] In Figure 4 all of the operative signals provided to the system 10 are produced conventionally
by the control logic 12. Disk controllers having the ability to provide signals corresponding
to those illustrated in Figure 4 are well known in the art, the disk controller in
the IBM disk storage system having the product number 3380 being one example.
[0044] The write mode begins with the provision of the WRITE state of the R/W signal to
the system 10. The WRITE state of the R/W signal enables the operations of the latches
30 and 32, the multiplexer 40, the pre-compensation circuit 42, and the comparator
52. The signal is provided in inverted form to the shift register 54 and the output
register 56 to prevent their operating during write mode operation. During write operations,
the R/W signal gates f
B3 to the latch 46 and f
S4 to the latch 48. A write mode sequence of operation includes the provision of a parallel
byte of data (byte (N)) to the latch 30, with the byte being latched on the negative
level of f
S1 while present at the input of the latch. As soon as the byte is latched, it is present
on the output of the latch 30 and encoded by the encoder 16. After encoding, the symbol
group WSG (N) of 12 parallel encoded bits resulting from the encoding of byte - (N)
is loaded into S/D 36 by a gated write group load pulse 57 that occurs in CLK 1 during
the write mode. The pulse 57 occurs during the second phase (B2) of the byte clock.
In the next encoding cycle, twelve shift pulses are provided in CLK 1 to serially
shift out the ISG entered by the pulse 57.
[0045] The positive state of the MUX 2 signal couples the parallel output of the S/D 36
to the output of the multiplexer 44 where, as explained above, the most significant
six bits of write symbol group (N) are made available to the decoder 20. The decoder
then decodes WSG (N-1). At the negative level of f
B3, the least significant ten bits of write symbol group (N) are entered into the latch
46. At this point, the previous symbol group, group (N-1), will have previously been
shifted to the latch 48 from the latch 46. Simultaneously with the entry of the ten
least significant bits of write symbol group (N) into the latch 46, the byte clock
f
B3 sets the comparator 52 so that the decoded byte corresponding to symbol group (N-1)
(that is, byte (N-1)) is compared-against the unencoded version of byte (N-1) stored
in the latch 32. Assuming that the unen- - coded and decoded bytes correspond, the
control logic will, during the fourth phase B4 of the byte clock, produce f
B4. The fourth phase of the byte clock f
B4 enters byte (N) into the latch 32, and the ten least significant bits of symbol group
(N) into the latch 48.
[0046] During the just-described encoding cycle for byte (N), twelve shift pulses of the
gated clock signal CLK 2 will be provided by the controller 12 to S/D 38 to enable
it to serially shift write symbol group (N-1) to the multiplexer 40. The negative
state of the MUX 1 signal passes the serialized write symbol group (N-1) to the precompensation
circuit 42.
[0047] Next, when byte (N +
1) is available to be written to the magnetic disk, the just-described encoding cycle
is performed again, with the exception that the roles of the S/D's 36 and 38 are reversed.
That is, byte (N+1) is entered of f
B1 into the latch 30, and coded, causing the production of the write symbol group (N+1).
The write symbol group - (N+1) is entered in parallel into the S/D 38 by the provision
thereto of gated write group load pulse 59 that occurs in CLK 2 during the write mode.
Now, since the MUX 1 and MUX 2 polarities are reversed, write symbol group (N) is
shifted from S/D 36 through the MUX 40 by the provision of twelve pulses of the CLK
1 signal to the S/D 36. It should be noted that the CLK 1 and CLK 2 signals are in
phase with the MUX 1 and MUX 2 signals, which permits the multiplexer 40 to seamlessly
interleave the serialized symbol groups. Further, the twelve shifting pulses of CLK
1 and CLK 2 when active have the frequency of f
c, and therefore ensure that the encoded bit string has the frequency f
c.
[0048] While write symbol group (N) is being serially shifted from the S/D 36, the negative
state of the MUX 2 signal causes symbol group (N + 1) to be provided through the multiplexer
44 and used in the decoding of symbol group (N). This permits a decoded version of
byte (N) to be compared with the unencoded version stored in the latch 32.
[0049] Reference to Figure 5 will provide an understanding of the operation of the serializer/deserializers
36 and 38. Figure 5 illustrates the S/D 36 and includes an array of AND gates 60a
-60, that feed through OR gates 62a -62, to the respective input D ports of clocked
storage devices 64a -64
i. Similarly, AND gates 66a -66, are fed through the respective OR gates 62a -62, to
the respective inputs of the storage devices 64a -64
1. Parallel entry of twelve bits of a write symbol group into the S/D 36 is permitted
by the positive state of the MUX 2 signal which enables the gates 66a -66
l: when the CLK 1 load pulse 57 is fed simultaneously to the clock inputs of the storage
devices 64a -64
l, the current write symbol group is entered into the S/D 36. To shift out the symbol
group on the following encoding cycle, the MUX 2 signal changes state by going low.
As illustrated, the low state of MUX 2 is inverted by the inverters 67a -67
l to produce a conventional inverse logic signal MUX 2 which enables AND gates 60a
-60
l. With MUX 2 high, the symbol group bits are fed sequentially through the S/D 36 from
the storage device 64a through the storage device 64
l, with the serial output being available at the Q output port of device 64
l.
[0050] It should be evident that the S/D 38 can be implemented in exactly the fashion illustrated
for the S/D 36 in Figure 5 simply by exchanging the MUX 2 and MUX 2 signals, with
the positive state of the MUX 2 signal provided to enable the gates 60a -60, and the
inverted state, MUX 2 , enabling the gates 66 a-66
l. Further, the clock signal input would be changed to CLK 2 .
[0051] Read mode operations comprise a sequence of decoding cycles, each defined by one
succession of the four phase byte clocks B1-B4. The READ state of the R/W signal disables
latches 30 and 32, multiplexer 40, and comparator 52; it enables the registers 54
and 56. The WRITE state of the R/W signal gates f
B1 to the latch 46 and f
B3 to the latch 48.
[0052] In a read mode operation, the control logic 12 will have been alerted by the provision
of a read request or command from the data processor to search for a standard pattern
of encoded bits comprising a preamble in the data field to be read. As is conventional,
when the addressed storage segment is initially read from the magnetic disk, the read
data is shifted serially into the shift register 54 from the disk drive electronics.
The contents of the shift register 54 are continuously read in parallel by the control
logic 12 so that when the preamble denoting the beginning of the addressed storage
sector is recognized, the control logic 12 can synchronize the provision of the gated
clocks CLK 1 and CLK 2 to the S/D's 36 and 38. Thus, the first pulse of the twelve
shift pulses of one of the gated clocks will be made available to one of the S/D's
36 or 38 in phase with the availability, at the serial output of the shift register
54, of the first encoded bit of the input bit string.
[0053] When the preamble is detected, the S/D's are driven out of phase to capture alternate
groups of twelve serial bits from the input symbol string. While one S/D is receiving
twelve encoded bits, the other is loading the previous twelve bits in parallel as
an input symbol group (ISG) through the multiplexer 44 to the decoder 20. Thus, in
Figure 5, when MUX 2 is negative and CLK 1 is gated on, symbol bits are shifted serially
from the register 54 into the devices 60a -60, . After twelve shift pulses of CLK
1, twelve symbol bits will be held in S/D 36. Then, when MUX 2 rises, and CLK 2 is
gated on, S/D 38 acquires the next twelve bits in the input symbol string.
[0054] Assuming now that-input symbol group (N) has been entered into the S/D 36, a byte
decode cycle will commence just after the rising edge of the first pulse of gated
clock CLK 2 . The twelve shift pulses of the gated clock and the positive state of
the MUX 2 signal will shift the twelve encoded bits of input symbol group (N +
1) into S/D 38. During the first byte clock phase B1 of the decoding cycle, the positive
state of the MUX 2 signal permits input symbol group (N) to be available on the output
of the multiplexer 44. This provides 6 most significant bits of symbol group (N) to
be available to the decoder, thereby enabling the decoding of symbol group (N-1).
During the first phase of the byte clock, the READ state of the R/W signal gates f
B1to the latch 46, which enters the ten least significant bits of symbol group (N) into
the latch 46. Next, f
B2 is provided to the output register 56 which clocks the decoded byte (N-1) into the
register, thereby providing it in parallel-byte format as read data to the data processing
system. Finally, the R/W signal gates f
B3 to the latch 48, transferring thereto the ten least significarit bits of the input
symbol group (N). During the next decode cycle in the read mode, input symbol group
(N + 1) is transferred in parallel from S/D 38 to be available through the multiplexer
44. This enables the decoder 20 to convert input symbol group (N) into output byte
(N) with the sequence of operations described above for the previous decode cycle
implemented for input symbol groups (N + 1) and (N).
[0055] The use of the R/W signal to gate byte clocks to the registers 46 and 48 can be understood
by reference to Figure 9. In Figure 9, one state of R/W permits f
S1 to pass through two gates (G, and G
3) to the clock input of, for example, register 46. The opposite state R/W permits
f
B3 to pass to the clock input through gates Go and G3. The gate G. passes either R/W
or R/W to the enable port of the register.
[0056] With reference now to Figures 6 and 7,the structures and operations of the RLL byte-wide
decoder 20 and the RLL byte-wide encoder 16 can be understood. In the discussion which
follows, U.S. Patent No. 4,413,251 to Adler et al and assigned to the assignee of
this patent application, is incorporated herein by reference for the purpose of establishing
the mathematical basis for the coding conversion operations of the decoder and the
encoder. The tabular expression of an RLL (1,7) coding algorithm that encodes bit-by-bit
at a 2/3 rate is found in Table IV of the incorporated patent. As taught in the incorporated
patent, the hardware implementation for an RLL (1,7) decoder that obtains bits x
" and x
n+1 from the three RLL symbols,



is derived from the following Boolean expressions, which are converted to their NOR
expression equivalents:




[0057] The NOR expressions (1) and (2) are implemented by the decoder NOR gate sections
60 and 62, respectively, in Figure 6. It should be evident that the pair of NOR sections
60 and 62 can be replicated four times to provide simultaneous decoding of a byte
(eight decoded bits) from sixteen encoded bits spanning 6 adjacent symbols, Y
0 -Y,, thus providing a look ahead to the two future channel symbols Y'
o and Y',. In Figure 6 the sixteen encoded bits are provided from the ten least significant
bits of symbol group (N) stored in the latch 48 and the six most significant bits
of symbol group (N + 1) that are available to the decoder from the output of the multiplexer
44.
[0058] The byte-wide encoder might also be implemented by replicating the encoder taught
in the incorporated Adler et al. patent four times to produce twelve encoded bits
(4 symbols) at a time. However, as is known, the encoder in the incorporated patent
relies upon the generation and storage of an intermediate 3-bit state for producing
each coded symbol. Replication of circuitry for generating and storing the intermediate
3-bit states would result in a complicated and relatively slow- operating encoder.
The encoder of Figure 7 avoids concatenation of 3-bit state circuitry by enlarging
the dependence of each encoded bit from two to four bits of unencoded data. This permits
the realization of an RLL (1,7) encoder that provides simultaneous encoding of a parallel
byte of data in which each resulting symbol is dependent upon only one state bit (in
addition to four unencoded bits) for each encoding operation.
[0059] To understand the operation of the encoders of Figures 7 , consider any current symbol
Y that comprises three encoded symbol bits (Y
o, Y,, Y
2) and that is encoded according to the algorithm of the Adler et al. patent from unencoded
bits x
0 and x, contained in the bit string fragment ...x
o x, x
z x
3....
[0060] According to the encoding algorithm of the Adler et al. patent the current symbol
Y has the functional dependence given in equation (3):
Y = f(z,, Z
z. Z
3. X
o, x,) (3) where z
1 z
2, and z
3 are current state bits resulting from the encoding of the symbol immediately preceding
Y, and xo and x, are the two unencoded bits to be used in encoding Y.
[0062] As is known, while the symbol Y is being encoded, the state variables (z'
1, z'
2, and z'
3) for the next symbol to be encoded (Y') are, in the prior arf encoder, determined
by equations (7) -(9).



[0063] Finally, expressions for the next symbol Y' = - (Y'
2, Y',, Y'
o) following Y may be obtained from equations (4) -(6) by substituting equations (7)
-(9) for z,, z
2, and z
3, respectively, and by substituting the two unencoded bits x
2 and x
3 for the bits x
o and x,. The next symbol expressions are given by the reduced Boolean equations (10)
-(12).



[0064] It is noted that, in the next state expressions - (7) -(9) and in the next symbol
equations (10) and - (12), a z
3 variable always appears with x
o in the form X
oยท Z
3 . It has been defined a new state variable w that is given by equation (13).

[0065] This permits the further reduction of equations (10) -(12) to the equations (14)
-(16) given below.



Finally, the next state variable w' for encoding the following symbol is given by
equation (1
7).

[0066] The set of equations (14) -(17) define an encoding operation that produces an RLL
(1,7) symbol Y' based upon four unconstrained, unencoded bits x
3 -x
o and a single state variable w.
[0067] In Figure 7, the portion of the encoder 16 that is enclosed by the dotted line indicated
by the reference numeral 70 implements, in a modular logic circuit, the encoding equations
(14) -(16). A conventional 1-bit data storage device 72 provides the current state
variable w to the modular circuit 70. As shown in Figure 7, the unencoded bits x'
o - x'
7 constitute a byte (N-1) stored in latch 32. The unencoded bits x
o -x
7 constitute the byte (N) following the byte (N-1) and are stored in latch 30. The
bits x
0 -x
2 are provided both to the encoder 16 and to the input of the latch 32. As required
by equations (14) -(16), the adjacent bits x'
6x'
7x
0X
1 are provided, together with w, to the modular circuit 70, which performs the encoding
operation resulting in encoded bits Y
o, Y,, and Y
2 that form the (most significant) symbol Y
0 of the write symbol group WSG (N).
[0068] To encode the less significant symbols Y, -Y
3 of WSG (N), state variables w, w", and w"' are produced by NAND gates 74-78, each
of which implements the state variable equation (17). Each of the state variables
produced by the NAND gates 74-78 are combined in a respective modular circuit equivalent
to the modular circuit 70 with the proper bits in byte (N) to produce the remaining
symbols, Y,, Y
2, and Y
3 of WSG (N).
[0069] A next state variable w"" is produced by the NAND gate 80 and provided as an input
to the storage device 72 into which it is entered during a write mode encoding cycle
by the occurrence of f
B4. Thus, when byte (N) is entered into the latch 32 and byte (N + 1) into the latch
30, to prepare for the next write encoding cycle, the state variable w"" will comprise
the current state variable w that enables the encoding operation producing WSG - (N+1).
[0070] It is to be understood that the particular embodiment of the invention herein described
and shown in the drawings is merely illustrative and not restrictive of the fundamental
invention. For example, the byte-wide operation of the system of the invention can
be changed to operate on larger or smaller data groups. Thus, the encoder, decoder,
and S/D's can be expanded to accommodate word- wide data groups.